λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,290,428
18,290,428
22 × 13 × 23 × 41 × 373
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 23 × 41 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 36,945,216
Proper Divisor Sum 18,654,788
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #18290411 ← → #18290429

Radix Representation

Decimal 18290428
Binary 1000101110001011011111100 (25 bits)
Octal 0o105613374
Hexadecimal 0x11716FC

Divisor Catalog (48)

1 2 4 13 23 26 41 46 52 82 92 164 299 373 533 598 746 943 1,066 1,196 1,492 1,886 2,132 3,772 4,849 8,579 9,698 12,259 15,293 17,158 19,396 24,518 30,586 34,316 49,036 61,172 111,527 198,809 223,054 351,739 397,618 446,108 703,478 795,236 1,406,956 4,572,607 9,145,214 18,290,428

Collatz Trajectory (244 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

18,290,428 9,145,214 4,572,607 13,717,822 6,858,911 20,576,734 10,288,367 30,865,102 15,432,551 46,297,654 23,148,827 69,446,482 34,723,241 104,169,724 52,084,862 26,042,431 78,127,294 39,063,647 117,190,942 58,595,471 175,786,414 87,893,207 263,679,622 131,839,811 395,519,434 197,759,717 593,279,152 296,639,576 148,319,788 74,159,894 37,079,947 111,239,842 55,619,921 166,859,764 83,429,882 41,714,941 125,144,824 62,572,412 31,286,206 15,643,103 46,929,310 23,464,655 70,393,966 35,196,983 105,590,950 52,795,475 158,386,426 79,193,213 237,579,640 118,789,820 59,394,910 29,697,455 89,092,366 44,546,183 133,638,550 66,819,275 200,457,826 100,228,913 300,686,740 150,343,370

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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